报告人：Donald Stanley ( full professor, from University of Regina, Canada. Specialization: homotopy theory.)

 题目：Configuration spaces

 时间：2014年10月16日（周四）下午14：:00-15:00
 
 地点：数学楼二楼学术报告厅
 

 摘要： If M is a manifold (or even a topological space), the configuration space F(M,k) is the space of k points in M. For example, the space F(R^3,k) represents the space of possible configurations of k objects in space. First we will recall some of the basic things from homotopy theory such as cohomology,and then consider the special case of F(R^2, k) and describe its cohomology, and its connection with the braid groups. We then move on to discuss the following two actively researched problems:

1) When is F(M,k) invariant under homotopy?

2) Find an algebraic model for F(M,k).


 

The present research is joint work with Pascal Lambrechts.